We included HMH Into Math Grade 5 Answer Key PDF Module 10 Review to make students experts in learning maths.

Vocabulary

Choose the correct term from the vocabulary box to complete the sentence.

Vocabulary
dividend
divisor
quotient
remainder

Question 1.
In the equation $$\frac{1}{2}$$ ÷ 3 = $$\frac{1}{6}$$, $$\frac{1}{6}$$ is the ___________.
Quotient,

Explanation:
Quotient is the answer obtained when we divide one number by another. Here in the equation
$$\frac{1}{2}$$ ÷ 3 = $$\frac{1}{6}$$
$$\frac{1}{6}$$ is the quotient because it is the answer obtained when $$\frac{1}{2}$$ is
divided by 3.

Question 2.
In the equation 4 ÷ $$\frac{1}{3}$$ = 12, $$\frac{1}{3}$$ is the __________.
Divisor,

Explanation:
In the given equation 4 ÷ $$\frac{1}{3}$$ = 12,
$$\frac{1}{3}$$ is divisor as the divisor is any number that divides another number.

Question 3.
In the equation $$\frac{1}{4}$$ ÷ 2 = $$\frac{1}{8}$$, $$\frac{1}{4}$$ is the ___________.
Dividend,

Explanation:
In the given equation $$\frac{1}{4}$$ ÷ 2 =
$$\frac{1}{8}$$, $$\frac{1}{4}$$ is the dividend. The amount or number to be divided is called the dividend.

Concepts and Skills

Question 4.
Carly has 28 fluid ounces of juice. She divides the juice equally into 5 glasses. How many fluid ounces are in each glass? Model the situation with a division equation and find the quotient.
Division equation:
28 ÷ 5,
Quotient is 5 ounces of juice,

Explanation:
Given Carly has 28 fluid ounces of juice.
She divides the juice equally into 5 glasses.
The situation with a division equation is 28 ÷ 5,
When 28 ÷ 5 the quotient is
5)28(5
25
3
So 5 ounces of juice is there in each glass.

Question 5.
Which expression is equivalent to $$\frac{7}{10}$$?
(A) 7 – 10
(B) 10 – 7
(C) 7 ÷ 10
(D) 10 ÷ 7
(C) 7 ÷ 10,

Explanation:
Given to find the expression is equivalent to $$\frac{7}{10}$$ as 7 is divided by 10 so it is equivalent to (C) 7 ÷ 10.

Question 6.
Use Tools Write and solve a word problem that can be modeled by the expression $$\frac{1}{2}$$ ÷ 6. Name the strategy or tool you will use to solve the problem, explain your choice, and then find the answer.
Word problem:
“$$\frac{1}{2}$$ part of full size pizza is been divided by 6 parts how much part does each person will get?”,
The reciprocal of the second fraction,then multiply, $$\frac{1}{12}$$,

Explanation:
Given to write and solve a word problem that can be modeled by the expression $$\frac{1}{2}$$ ÷ 6.
The strategy or tool I will use to solve the problem is
The first step to dividing fractions is to find the reciprocal
(reverse the numerator and denominator) of the second fraction.
Next, multiply the two numerators.
Then, multiply the two denominators so
$$\frac{1}{2}$$ ÷ 6 = $$\frac{1}{2}$$ X $$\frac{1}{2}$$ =
$$\frac{1}{2 X 6}$$ = $$\frac{1}{12}$$.

Question 7.
Shannon has 4 quarts of soup. If each serving of soup is quart, how many servings of soup does she have? Write a division equation to mode! the situation.
4 servings,
Division equation : 4 quarts ÷ 1 quarts

Explanation:
Given Shannon has 4 quarts of soup.
If each serving of soup is quart,
The division equation to mode! the situation is
4 quarts ÷ 1 quarts, so number of servings of soup
does she have is 4 quarts ÷ 1 quarts = 4 servings.

Question 8.
What is the quotient $$\frac{1}{6}$$ ÷ 3? Draw a visual model to represent the expression and find the quotient.
Quotient = $$\frac{1}{18}$$,

Explanation:
Given to find the quotient $$\frac{1}{6}$$ ÷ 3 is
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators.
Then, multiply the two denominators so
$$\frac{1}{6}$$ ÷ 3 = $$\frac{1}{6}$$ X $$\frac{1}{3}$$ =
= $$\frac{1}{6 X 3}$$ = $$\frac{1}{18}$$,
Drawn a visual model to represent the expression
$$\frac{1}{6}$$ ÷ 3  and  the quotient is
$$\frac{1}{18}$$.

Question 9.
Manny divides $$\frac{1}{3}$$ pound of peanuts equally into 2 bags. How many pounds of peanuts are in each bag?
(A) 1$$\frac{2}{3}$$ pound
(B) $$\frac{2}{3}$$ pound
(C) $$\frac{1}{3}$$ pound
(D) $$\frac{1}{6}$$ pound
(D) $$\frac{1}{6}$$ pound,

Explanation:
Given Manny divides $$\frac{1}{3}$$ pound of peanuts equally into 2 bags so $$\frac{1}{3}$$ ÷ 2 is
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators.
Then, multiply the two denominators so
$$\frac{1}{3}$$ ÷ 2 = $$\frac{1}{3}$$ X $$\frac{1}{2}$$ =
$$\frac{1}{3 X 2}$$ = $$\frac{1}{6}$$ which matches with (D) $$\frac{1}{6}$$ pound.

Question 10.
Select all the expressions equivalent to 12.
(A) 3 ÷ $$\frac{1}{4}$$
(B) 2 ÷ $$\frac{1}{6}$$
(C) $$\frac{1}{6}$$ ÷ 2
(D) 4 ÷ $$\frac{1}{3}$$
(E) $$\frac{1}{2}$$ ÷ 6
(A) 3 ÷ $$\frac{1}{4}$$,
(B) 2 ÷ $$\frac{1}{6}$$,
(D) 4 ÷ $$\frac{1}{3}$$,

Explanation:
Given to select all the expressions equivalent to 12,
A. 3 ÷ $$\frac{1}{4}$$ = 3 X 4 = 12, matches,
B. 2 ÷ $$\frac{1}{6}$$ = 2 X 6 = 12, matches,
C. $$\frac{1}{6}$$ ÷ 2 =
$$\frac{1}{6}$$ X $$\frac{1}{2}$$ =
$$\frac{1}{6 X 2}$$ = $$\frac{1}{12}$$
does not match,
D. 4 ÷ $$\frac{1}{3}$$ = 4 X 3 = 12, matches,
E. $$\frac{1}{2}$$ ÷ 6 =
$$\frac{1}{2}$$ X $$\frac{1}{6}$$ =
$$\frac{1}{2 X 6}$$ = $$\frac{1}{12}$$
does not match,
So expressions equivalent to 12 are
(A) 3 ÷ $$\frac{1}{4}$$,
(B) 2 ÷ $$\frac{1}{6}$$ and
(D) 4 ÷ $$\frac{1}{3}$$.

Question 11.
Write and solve a word problem that can be modeled by the expression 6 ÷ $$\frac{1}{8}$$.
” In a party there are 6 boxes of candies each child got $$\frac{1}{8}$$ box of candies, how many children are there?”,
Given to write a word problem that can be modeled by the expression 6 ÷ $$\frac{1}{8}$$ is
” In a party there are 6 boxes of candies each child got $$\frac{1}{8}$$ box of candies, how many children are there?”, So 6 ÷ $$\frac{1}{8}$$ = 6 X 8 = 48 children are there in the party.